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112252032640 = 27511374753173
BaseRepresentation
bin110100010001010111…
…1100001011010000000
3101201202001000002101101
41220202233201122000
53314343010021030
6123322354344144
711052465351166
oct1504257413200
9351661002341
10112252032640
1143673389610
1219908b8b054
13a77bc48bb7
14560c327236
152dbeb917ca
hex1a22be1680

112252032640 has 512 divisors, whose sum is σ = 314659261440. Its totient is φ = 37916835840.

The previous prime is 112252032617. The next prime is 112252032647. The reversal of 112252032640 is 46230252211.

It is a junction number, because it is equal to n+sod(n) for n = 112252032599 and 112252032608.

It is not an unprimeable number, because it can be changed into a prime (112252032647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648855594 + ... + 648855766.

It is an arithmetic number, because the mean of its divisors is an integer number (614568870).

Almost surely, 2112252032640 is an apocalyptic number.

112252032640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112252032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157329630720).

112252032640 is an abundant number, since it is smaller than the sum of its proper divisors (202407228800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112252032640 is a wasteful number, since it uses less digits than its factorization.

112252032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 112252032640 its reverse (46230252211), we get a palindrome (158482284851).

The spelling of 112252032640 in words is "one hundred twelve billion, two hundred fifty-two million, thirty-two thousand, six hundred forty".